I'll Never Forget This Minute, This Second

In order to save the woman Simon loves and the Earth in which his friends resides; the "Super Galactic Great Gurren" was launched, with the Great Gurren Brigade onboard. Guided by Simon and Nia's feelings for each other, the Great Gurren Brigade break through dimensions in search for the Anti-Spirals' homeworld. What can they expect once they arrive to this unknown world?